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Finding the Fourth Proportional to 494,993.18, 742,502.57 and 158,033.54

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Solution

The fourth proportional to 494,993.18, 742,502.57 and 158,033.54 is: 237,054.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,993.18 : 742,502.57 = 158,033.54 : x
  2. Step 2: Convert to fraction form
    494,993.18/742,502.57 = 158,033.54/x
  3. Step 3: Cross multiply
    494,993.18x = 742,502.57 × 158,033.54
  4. Step 4: Simplify right side
    494,993.18x = 117,340,305,093.52
  5. Step 5: Solve for x
    x = 117,340,305,093.52/494,993.18
  6. Step 6: Final answer
    x = 237,054.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.